What is the Least Common Multiple of 49019 and 49036?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 49019 and 49036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49019 and 49036, than apply into the LCM equation.

GCF(49019,49036) = 1
LCM(49019,49036) = ( 49019 × 49036) / 1
LCM(49019,49036) = 2403695684 / 1
LCM(49019,49036) = 2403695684

Least Common Multiple (LCM) of 49019 and 49036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49019 and 49036. First we will calculate the prime factors of 49019 and 49036.

Prime Factorization of 49019

Prime Factorization of 49036

Now multiplying the highest exponent prime factors to calculate the LCM of 49019 and 49036.

LCM(49019,49036) = 49019¹ × 2² × 13¹ × 23¹ × 41¹
LCM(49019,49036) = 2403695684